期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Global Helically Symmetric Solutions to 3D MHD Equations

Global Helically Symmetric Solutions to 3D MHD Equations
原文传递
导出
摘要 We prove the existence and uniqueness of global strong solutions to the Cauchy problem of the three-dimensional magnetohydrodynamic equations in R3 when initial data are helically symmetric. Moreover, the large-time behavior of the strong solutions is obtained simultaneously. We prove the existence and uniqueness of global strong solutions to the Cauchy problem of the three-dimensional magnetohydrodynamic equations in R3 when initial data are helically symmetric. Moreover, the large-time behavior of the strong solutions is obtained simultaneously.
作者 Wen GAO Zhen-hua GUO Dong-juan NIU
机构地区 Northwest University School of Mathematical Sciences
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第2期347-358,共12页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China(No.11071195) partially supported by the National Natural Science Foundation of China(No.11071195) a research grant at the Northwest University
关键词 magnetohydrodynamic equations helically symmetric solutions large-time behavior of solutions magnetohydrodynamic equations helically symmetric solutions large-time behavior of solutions
分类号 O361.3 [理学—流体力学] O175 [理学—基础数学]
  • 相关文献

参考文献2

二级参考文献11

  • 1QuanSenJIU,ChengHE.Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations[J].Acta Mathematica Sinica,English Series,2004,20(4):695-708. 被引量：11
  • 2Beal, J., Kato, T.,Majda, A. J.: Remarks on the breakdown of smooth solutions for the 3-D Euler equations.Comm. Math. Phys., 94, 61-66 (1984).
  • 3Politano, H.. Pouquet, A., Sulem, P. L.: Current and vorticity dynamics in three-dimensional magnetohydrodynamic turbulence. Phys. Plamas, 2, 2931-2939 (1995).
  • 4Constantim P., Fefferman, C.: Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Indiana University Mathematics J., 42(3), 775-789 (1993).
  • 5Constantin, P., Fefferman, C., Majda, A. J.: Geometric constraints on potentially singular solutions for 3-D Euler equations. Comm. Partial Differential Equations, 21(3&4), 539-571 (1996).
  • 6Caflisch, R. E., Klapper, I., Steele, G.: Remarks on singularities, dimension and energy dissipation for ideal hydrodynamic and MHD. Comm. Math. Phys., 184, 443-455 (1997).
  • 7Wu, J.: Analytic results related to magnetohydrodynamic turbulence. Physica D., 136, 353-372 (2000).
  • 8He, C., Xin, Z. P.: On the regularity of solutions to the magnetohydrodynamic equations. Preprint.
  • 9Constantiu, P.: Geometric statistic in turbuleace. SIAM Review, 36(1), 73-98 (1994).
  • 10Sermange, M., Teman, R.: Some mathematical questions related to the MHD equations. Comm. Pure Appl. Math., 36, 635-664 (1983).

共引文献16

Acta Mathematicae Applicatae Sinica
2014年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部